Study on the Perfectly Matched Layer Absorbing Boundary Conditions for Three-Dimensional Discontinuous Galerkin Boltzmann Method

被引：0
|
作者：
Xia B. [1 ]
Shao W. [2 ]
Li J. [1 ]
机构：
[1] School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an
[2] AECC Commercial Aircraft Engine Co. Ltd., Shanghai
来源：
Li, Jun | 1600年 / Xi'an Jiaotong University卷 / 54期
关键词：
Absorbing boundary condition; Computational aeroacoustics; Discontinuous Galerkin Boltzmann method; Perfectly matched layer;
D O I：
10.7652/xjtuxb202007014
中图分类号：
学科分类号：
摘要：
To solve the problem of far-field boundary reflection in aeroacoustic simulation, the perfectly matched layer (PML) technique is introduced into the three-dimensional discontinuous Galerkin Boltzmann method to construct absorbing boundary conditions using two different discretized formulas. Both formulas are tested in three-dimensional Gaussian pulse cases to confirm their stability and effectiveness. It shows that only one formula can both effectively dampen the reflecting waves and preserve excellent stability. Several factors which affect the non-reflecting performance of PML are studied and the performance is measured by newly defined normalized norms. The results show that the damping coefficient has an optimal value which is related to the parameters of the PML rather than the parameters of Gaussian pulses, indicating that the normalized norms are of universality to some extent. If the damping coefficient is in a power-law distribution, then using exponent of 2 can reach better non-reflecting performance, while using exponent of 4 leads to a more gradual performance change with respect to damping coefficient. A thicker absorbing layer and a larger domain can improve the non-reflecting performance but increase the amount of computation. This work can serve as a reference for constructing more effective and practical non-reflecting boundary conditions. © 2020, Editorial Office of Journal of Xi'an Jiaotong University. All right reserved.
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页码：113 / 120
页数：7
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